Question

Anu, Vanu and Tanu are partners in the ratio of 4 : 3 : 2. Anu retires. Vanu and Tanu decide to share future profits in the ratio of 5 : 3. Calculate Gaining Ratio.

Hint:

Gaining Ratio = New Share – Old Share for each continuing partner.

Answer 1

Old ratio of Anu, Vanu and Tanu is 4 : 3 : 2. When Anu retires, her share is 4 parts out of 9 total parts. Vanu and Tanu's old shares are 3/9 and 2/9 respectively. Their new ratio is 5 : 3, which means Vanu receives 5/8 and Tanu receives 3/8. To calculate the gaining ratio, we find the difference between new share and old share. Vanu's gain is 5/8 minus 3/9 and Tanu's gain is 3/8 minus 2/9. After calculating the values, their gains simplify to 27/72 for Vanu and 13/72 for Tanu, giving a gaining ratio of 27 : 13. This ratio shows how much of Anu's share is gained individually by Vanu and Tanu.